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Finding the Fourth Proportional to 11,645.94, 17,474.58 and 5,803.41

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Solution

The fourth proportional to 11,645.94, 17,474.58 and 5,803.41 is: 8,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.94 : 17,474.58 = 5,803.41 : x
  2. Step 2: Convert to fraction form
    11,645.94/17,474.58 = 5,803.41/x
  3. Step 3: Cross multiply
    11,645.94x = 17,474.58 × 5,803.41
  4. Step 4: Simplify right side
    11,645.94x = 101,412,152.32
  5. Step 5: Solve for x
    x = 101,412,152.32/11,645.94
  6. Step 6: Final answer
    x = 8,707.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.